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Finding the Fourth Proportional to 12,757.91, 19,134.14 and 3,991.69

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Solution

The fourth proportional to 12,757.91, 19,134.14 and 3,991.69 is: 5,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.91 : 19,134.14 = 3,991.69 : x
  2. Step 2: Convert to fraction form
    12,757.91/19,134.14 = 3,991.69/x
  3. Step 3: Cross multiply
    12,757.91x = 19,134.14 × 3,991.69
  4. Step 4: Simplify right side
    12,757.91x = 76,377,487.50
  5. Step 5: Solve for x
    x = 76,377,487.50/12,757.91
  6. Step 6: Final answer
    x = 5,986.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.